Download CMAT 2022 Mensuration Questions pdf by Cracku. Very Important Mensuration Questions for CMAT 2022 based on asked questions in previous exam papers. These questions will help your CMAT preparation. So kindly download the PDF for reference and do more practice.<\/p>\n
Download Mensuration Questions for CMAT<\/a><\/p>\n Get 5 CMAT mocks at just Rs.299<\/a><\/p>\n Download CMAT previous papers PDF<\/a><\/p>\n Question 1:\u00a0<\/b>The length of a rectangle is increased by 25% and the breadth of the rectangle is decreased by 25%. What is the percentage change in the area of the rectangle?<\/p>\n a)\u00a05% decrease<\/p>\n b)\u00a05% increase<\/p>\n c)\u00a06.25% increase<\/p>\n d)\u00a06.25% decrease<\/p>\n e)\u00a0None of the above<\/p>\n Question 2:\u00a0<\/b>If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192 $m^2$. What is the area of the original rectangle?<\/p>\n a)\u00a0184 $m^2$<\/p>\n b)\u00a0196 $m^2$<\/p>\n c)\u00a0200 $m^2$<\/p>\n d)\u00a0225 $m^2$<\/p>\n e)\u00a0None of these<\/p>\n Question 3:\u00a0<\/b>What is the area of a rectangle with length equal to 2 times the breadth which is equal to the side of square whose area is 361 sq.m.<\/p>\n a)\u00a0728<\/p>\n b)\u00a0762<\/p>\n c)\u00a0721<\/p>\n d)\u00a0722<\/p>\n e)\u00a0781<\/p>\n Question 4:\u00a0<\/b>If length of a rectangle with breadth 5 m is equal to the area of a square with side 4m a)\u00a019<\/p>\n b)\u00a020<\/p>\n c)\u00a070<\/p>\n d)\u00a080<\/p>\n e)\u00a090<\/p>\n Question 5:\u00a0<\/b>If the side of a square is increased by 20%, what will be the increment in its area?<\/p>\n a)\u00a040<\/p>\n b)\u00a044<\/p>\n c)\u00a048<\/p>\n d)\u00a050<\/p>\n e)\u00a055<\/p>\n Download CMAT Previous Papers PDF<\/a><\/p>\n Take CMAT Mock Tests<\/a><\/p>\n Question 6:\u00a0<\/b>The diameter of a wheel is 343 m. How many revolutions will it make to cover a distance of 10780 m.<\/p>\n a)\u00a010<\/p>\n b)\u00a011<\/p>\n c)\u00a012<\/p>\n d)\u00a013<\/p>\n e)\u00a014<\/p>\n Question 7:\u00a0<\/b>Length and Breadth of a rectangle are 14m. and 16m. and its area is equal to the length of a square. What will be the length of the diagonal of the square?<\/p>\n a)\u00a0222<\/p>\n b)\u00a0223<\/p>\n c)\u00a0224<\/p>\n d)\u00a0$224\\sqrt2$<\/p>\n e)\u00a0225<\/p>\n Question 8:\u00a0<\/b>If length of a rectangle is increased by 10% and breadth of a rectangle is increased by 20%, then what will be the increment in area of rectangle?<\/p>\n a)\u00a033.33%<\/p>\n b)\u00a055%<\/p>\n c)\u00a032%<\/p>\n d)\u00a064%<\/p>\n e)\u00a066.66%<\/p>\n Question 9:\u00a0<\/b>If the radius of a circle is equal to the side of a square, what is the ratio of the perimeters of the circle to the square?<\/p>\n a)\u00a0$\\pi$:1<\/p>\n b)\u00a0$\\pi$:2<\/p>\n c)\u00a0$\\pi$:3<\/p>\n d)\u00a02:$\\pi$<\/p>\n e)\u00a0None of the above<\/p>\n Question 10:\u00a0<\/b>Find the value of the radius of the circle if its circumference is equal to the rectangle whose length is 14cm and breadth 8cm?<\/p>\n a)\u00a07cm<\/p>\n b)\u00a014cm<\/p>\n c)\u00a016cm<\/p>\n d)\u00a08cm<\/p>\n e)\u00a06 cm<\/p>\n Question 11:\u00a0<\/b>A square has the side equal to the diameter of a circle. If the perimeter of the square is 20 metres, what is the perimeter of the circle?<\/p>\n a)\u00a014.7<\/p>\n b)\u00a015.7<\/p>\n c)\u00a016.7<\/p>\n d)\u00a017.7<\/p>\n e)\u00a0None of the above<\/p>\n Question 12:\u00a0<\/b>There is a square of a certain area. The side of the square is now increased in such a way that the area of the square increases by 69%. What is the percentage increase in the side of the square?<\/p>\n a)\u00a030%<\/p>\n b)\u00a032%<\/p>\n c)\u00a028%<\/p>\n d)\u00a025%<\/p>\n e)\u00a040%<\/p>\n Question 13:\u00a0<\/b>The length of a rectangle is greater than the side of a square by 4 cm and the the breadth of the rectangle is less than the side of the square by 6 cm. Given that the area of the square is 441 sq cm, find the area of the rectangle.<\/p>\n a)\u00a0225 sq cm<\/p>\n b)\u00a0361 sq cm<\/p>\n c)\u00a0289 sq cm<\/p>\n d)\u00a0375 sq cm<\/p>\n e)\u00a0None of these<\/p>\n Question 14:\u00a0<\/b>The length of a rectangle is increased by 2 cm and the breadth of the rectangle is also increased by 2 cm. As a result, the area of the rectangle increases by 18 $cm^2$. If the original breadth of the rectangle is 3 cm and the original length of the rectangle is an integer, what is the new length of the rectangle?<\/p>\n a)\u00a04 cm<\/p>\n b)\u00a05 cm<\/p>\n c)\u00a06 cm<\/p>\n d)\u00a07 cm<\/p>\n e)\u00a08 cm<\/p>\n Question 15:\u00a0<\/b>The diameter of a wheel is 49 m. How many revolutions will it make to cover a distance of 3200 m?<\/p>\n a)\u00a017<\/p>\n b)\u00a027<\/p>\n c)\u00a024<\/p>\n d)\u00a021<\/p>\n e)\u00a018<\/p>\n Take CMAT Mock Tests<\/a><\/p>\n Answers & Solutions:<\/strong><\/span><\/p>\n 1)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Let the sides be 10l and 10b. So, area = 100lb. 2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let the original length be L and the original breadth be B After the changes, the area is 1.2L * 0.8 B = 0.96 LB<\/p>\n As, 0.96 LB = 192 $m^2$, 3)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Area of rectangle = (length) (breadth) = $2(b)^{2}$ (Where b = breadth of rectangle which is equal to 19 as side of square) 4)\u00a0Answer\u00a0(D)<\/strong><\/p>\n area of square = 16 = length of rectangle 5)\u00a0Answer\u00a0(B)<\/strong><\/p>\n As we know that area of a square is directly proportional to square of its side 6)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Perimeter of wheel = $\\pi \\times d$ (where d is the diameter of the circle) = $\\frac{22}{7} \\times 343 = 1078$ 7)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Area of rectangle = 224 sq.m. 8)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let\u2019s say length is l and breadth is b so area will be lb 9)\u00a0Answer\u00a0(B)<\/strong><\/p>\n The required ratio is 2*$\\pi$*r : 4*r = $\\pi$:2<\/p>\n 10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Circumference of circle = 2(l+b) = 2(14+8) = 44 11)\u00a0Answer\u00a0(B)<\/strong><\/p>\n The perimeter of the square = 20. So, the side is 20\/4 = 5 metres. The circumference of the circle is 2 x $ \\pi$ x r = 2 x 3.14 x 2.5 = 15.70<\/p>\n 12)\u00a0Answer\u00a0(A)<\/strong><\/p>\n Let the side be 10 cm. 13)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Let the side of the square, length of the rectangle and breadth of the rectangle be s, l and b respectively. 14)\u00a0Answer\u00a0(C)<\/strong><\/p>\n Let the original length of the rectangle be L. New length = L+2 So, 5L + 10 – 3L = 18 => 2L = 8 => L = 4 cm<\/p>\n So, the new length of the rectangle is 4+2 = 6 cm<\/p>\n 15)\u00a0Answer\u00a0(D)<\/strong><\/p>\n Distance covered in one revolution of the wheel = Circumference of the wheel = $\\pi$ * diameter = 22\/7 * 49 = 154 m<\/p>\n So, number of revolutions required to cover 3200 m = 3200\/154 = 21 approx.<\/p>\n
\nWhat will be the area of rectangle?<\/p>\n
\nSides after the change = 12.5l and 7.5b
\nNew area = 12.5l*7.5b = 93.75lb
\nSo, percentage change in area = 6.25%<\/p>\n
\nSo, the original area is LB<\/p>\n
\nLB = 200 $m^2$<\/p>\n
\nHence, area of rectangle will be = 2(361) = 722<\/p>\n
\nHence, area of rectangle = (16)(5) = 80<\/p>\n
\nHence, when initial area is proportional to $r^{2}$
\nnew area will be proportional to $1.44r^{2}$
\nSo area is increased by 44%<\/p>\n
\nHence wheel has to make $\\frac{10780}{1078}$ = 10 revolutions to cover the given distance.<\/p>\n
\nSo side of square = 224
\nDiagonal of square= $224\\sqrt2$<\/p>\n
\nnew length will be 1.25l and breadth will be 1.10l so new area will be 1.32lb
\npercentage increase in area will be = 32%<\/p>\n
\n2*22\/7*r = 44
\nr = 7<\/p>\n
\nSo, area = 100 $cm^2$
\nNew area = 100 + 69 = 169 $cm^2$
\nSo, new side length = $\\sqrt{169}$ = 13 cm
\nSo, percentage increase in the side of the square = (13 – 10)\/10 * 100 = 30%<\/p>\n
\n$s^2$ = 441 => s = 21 cm
\nl = 21 + 4 = 25 cm
\nb = 21 – 6 = 15 cm
\nArea of the rectangle = 25 * 15 = 375 sq cm.<\/p>\n
\nOriginal area = L*3 = 3L<\/p>\n
\nNew breadth = 5 cm
\nNew area = 5*(L+2)<\/p>\n